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Finding the Fourth Proportional to 157.90, 236 and 121.46

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Solution

The fourth proportional to 157.90, 236 and 121.46 is: 181.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.90 : 236 = 121.46 : x
  2. Step 2: Convert to fraction form
    157.90/236 = 121.46/x
  3. Step 3: Cross multiply
    157.90x = 236 × 121.46
  4. Step 4: Simplify right side
    157.90x = 28,664.56
  5. Step 5: Solve for x
    x = 28,664.56/157.90
  6. Step 6: Final answer
    x = 181.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.